97845104448 has 672 divisors, whose sum is σ = 362717462016. Its totient is φ = 24510283776.

The previous prime is 97845104419. The next prime is 97845104501. The reversal of 97845104448 is 84440154879.

97845104448 is a `hidden beast` number, since 9 + 7 + 84 + 510 + 4 + 4 + 48 = 666.

97845104448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 97845104394 and 97845104403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333942190 + ... + 333942482.

It is an arithmetic number, because the mean of its divisors is an integer number (539758128).

Almost surely, 2^97845104448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97845104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181358731008).

97845104448 is an abundant number, since it is smaller than the sum of its proper divisors (264872357568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97845104448 is a wasteful number, since it uses less digits than its factorization.

97845104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 97845104448 in words is "ninety-seven billion, eight hundred forty-five million, one hundred four thousand, four hundred forty-eight".